10b^2+3b-12=-5

Solution for 10b^2+3b-12=-5 equation:

Simplifying
10b2 + 3b + -12 = -5

Reorder the terms:
-12 + 3b + 10b2 = -5

Solving
-12 + 3b + 10b2 = -5

Solving for variable 'b'.

Reorder the terms:
-12 + 5 + 3b + 10b2 = -5 + 5

Combine like terms: -12 + 5 = -7
-7 + 3b + 10b2 = -5 + 5

Combine like terms: -5 + 5 = 0
-7 + 3b + 10b2 = 0

Factor a trinomial.
(-1 + -1b)(7 + -10b) = 0

Subproblem 1
Set the factor '(-1 + -1b)' equal to zero and attempt to solve:

Simplifying
-1 + -1b = 0

Solving
-1 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1b = 0 + 1
-1b = 0 + 1

Combine like terms: 0 + 1 = 1
-1b = 1

Divide each side by '-1'.
b = -1

Simplifying
b = -1
Subproblem 2
Set the factor '(7 + -10b)' equal to zero and attempt to solve:

Simplifying
7 + -10b = 0

Solving
7 + -10b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -10b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -10b = 0 + -7
-10b = 0 + -7

Combine like terms: 0 + -7 = -7
-10b = -7

Divide each side by '-10'.
b = 0.7

Simplifying
b = 0.7
Solution
b = {-1, 0.7}